Recent Progress and Open Problems in Function Field Arithmetic - The Influence of John Tate’s Work

Dinesh S. Thakur · Pure and Applied Mathematics Quarterly · 2010

The goal of this paper is to give a quick survey of some important recent results and open problems in the area of function field arithmetic, which studies geometric analogs of arithmetic questions.We will sketch related developments and try to trace the multiple influences of works of John Tate in this context.keywords: Tate,

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